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Título

Nonlinear optical Galton board

Autor Navarrete Benlloch, Carlos; Pérez Cañellas, Armando ; Roldán, Eugenio
Palabras clave Self-phase modulation
Optical solitons
Wave functions
Optical chaos
[PACS] Quantum computation
[PACS] Random walks and Levy flights
[PACS] Nonlinear optics
Fecha de publicación 27-jun-2007
EditorAmerican Physical Society
Citación Physical Review A 75: 062333 (2007)
ResumenWe generalize the concept of optical Galton board (OGB), first proposed by Bouwmeester [Phys. Rev. A 61, 013410 (2000)], by introducing the possibility of nonlinear self-phase modulation on the wave function during the walker evolution. If the original Galton board illustrates classical diffusion, the OGB, which can be understood as a grid of Landau-Zener crossings, illustrates the influence of interference on diffusion, and is closely connected with the quantum walk. Our nonlinear generalization of the OGB shows new phenomena, the most striking of which is the formation of nondispersive pulses in the field distribution (solitonlike structures). These exhibit a variety of dynamical behaviors, including ballistic motion, dynamical localization, nonelastic collisions, and chaotic behavior, in the sense that the dynamics is very sensitive to the nonlinearity strength.
Descripción 7 pages, 8 figures.-- PACS nrs.: 03.67.Lx; 05.40.Fb; 05.45.Yv; 42.65.-k.-- ISI Article Identifier: 000247624300071.-- ArXiv pre-print available at: http://arxiv.org/abs/quant-ph/0604084
Versión del editorhttp://dx.doi.org/10.1103/PhysRevA.75.062333
URI http://hdl.handle.net/10261/9087
DOI10.1103/PhysRevA.75.062333
ISSN1050-2947
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